Notes on self-confidence in opinion dynamics

Zhaogang Ding, Xinlu Shi () and Yong Wu ()
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Zhaogang Ding: School of Public Management (Emergency Management), Northwest University, Xi’an 710069, P. R. China
Xinlu Shi: School of Economics and Finance, Xi’an International Studies University, Xi’an 710128, P. R. China
Yong Wu: School of Public Management (Emergency Management), Northwest University, Xi’an 710069, P. R. China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 11, 1-15

Abstract: In some research involving opinion formation, there are some details that have not been studied deeply, just as the role of a person’s self-confidence in opinion dynamics. This small but important detail needs to be cleared up. Hence, in this paper, we want to discuss the self-confidence in opinion dynamics with regard to some common linear and nonlinear models: DeGroot, Friedkin–Johnsen, Deffuant–Weisbuch and Hegselmann–Krause (HK) model. We unfold that (1) A person’s self-confidence assumption has an important impact on the consensus condition in DeGroot model; (2) The relationship between the self-confidence on the initial opinion and the current opinion follows a Kuznets curve in Friedkin–Johnsen model; (3) A person’s self-confidence has a close relationship with the convergence parameter in Deffuant–Weisbuch model, which has little impact on the number of opinion clusters at the stable stage; and (4) A person’s self-confidence varies with time at first and then stays at a certain level finally in the HK model, while the person’s self-confidence does not change with time in above three models.

Keywords: Self-confidence; opinion dynamics; DeGroot model; Friedkin–Johnsen model; bounded confidence model (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120501636

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